Ratios, Rates, & Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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What is a rate?

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A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

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CCSS.6.RP.A.1

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What is a unit rate?

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A unit rate is a rate in which the second quantity is one unit, such as dollars per pound or miles per hour.

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CCSS.6.RP.A.1

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If 3 cakes require 6 eggs, how many eggs are needed for 7 cakes?

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14 eggs.

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CCSS.6.RP.A.3B

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What is the unit rate if 4 pounds of apples cost $8?

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$2 per pound.

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What is the ratio of 15 to 25 in simplest form?

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3:5.

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If a car travels 120 miles in 2 hours, what is its speed in miles per hour?

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60 miles per hour.

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CCSS.6.RP.A.1

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What is the ratio of 10 oranges to 5 apples?

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2:1.

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CCSS.6.RP.A.1

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If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

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2:3.

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